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Preprint . 1999
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Letters in Mathematical Physics
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https://dx.doi.org/10.48550/ar...
Article . 1999
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Letters in Mathematical Physics
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Shuffling Quantum Field Theory

Shuffling quantum field theory.
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2000Embargo end date: 01 Jan 1999 English Publisher:Springer Science and Business Media LLCJournal:Letters in Mathematical Physics, volume 51, pages 179-191 (issn: 0377-9017, eissn: 1573-0530, Copyright policy )
Authors: Dirk Kreimer;

doi: 10.1023/a:1007633104800 , 10.48550/arxiv.hep-th/9912290

arXiv: http://arxiv.org/abs/hep-th/9912290

Shuffling Quantum Field Theory

Abstract

We discuss shuffle identities between Feynman graphs using the Hopf algebra structure of perturbative quantum field theory. For concrete exposition, we discuss vertex function in massless Yukawa theory.

13p, 5 fig.(eps), ref. updated, to appear in Lett.Math.Physics

Related Organizations
Keywords

High Energy Physics - Theory, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, FOS: Physical sciences, Hopf algebras (associative rings and algebras), Perturbative methods of renormalization applied to problems in quantum field theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Feynman diagrams

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 7
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
Green